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2235046968 = 2332711596833
BaseRepresentation
bin1000010100111000…
…0001110000111000
312202202122011001100
42011032001300320
514034133000333
61005440451400
7106246404630
oct20516016070
95682564040
102235046968
11a47697960
12524619b60
132980828cb
14172ba16c0
15d1341213
hex85381c38

2235046968 has 192 divisors, whose sum is σ = 7675948800. Its totient is φ = 570608640.

The previous prime is 2235046939. The next prime is 2235046973. The reversal of 2235046968 is 8696405322.

2235046968 is a `hidden beast` number, since 2 + 23 + 504 + 69 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323680 + ... + 330512.

It is an arithmetic number, because the mean of its divisors is an integer number (39978900).

Almost surely, 22235046968 is an apocalyptic number.

2235046968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2235046968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837974400).

2235046968 is an abundant number, since it is smaller than the sum of its proper divisors (5440901832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2235046968 is a wasteful number, since it uses less digits than its factorization.

2235046968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6922 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2235046968 is about 47276.2833564569. The cubic root of 2235046968 is about 1307.4614257186.

The spelling of 2235046968 in words is "two billion, two hundred thirty-five million, forty-six thousand, nine hundred sixty-eight".